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Finding the Fourth Proportional to 859,301,986.16, 1,185,978,957.76 and 506,964,116.72

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Solution

The fourth proportional to 859,301,986.16, 1,185,978,957.76 and 506,964,116.72 is: 699,694,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,301,986.16 : 1,185,978,957.76 = 506,964,116.72 : x
  2. Step 2: Convert to fraction form
    859,301,986.16/1,185,978,957.76 = 506,964,116.72/x
  3. Step 3: Cross multiply
    859,301,986.16x = 1,185,978,957.76 × 506,964,116.72
  4. Step 4: Simplify right side
    859,301,986.16x = 601,248,774,769,304,576
  5. Step 5: Solve for x
    x = 601,248,774,769,304,576/859,301,986.16
  6. Step 6: Final answer
    x = 699,694,385.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.