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Finding the Fourth Proportional to 553,812.60, 830,062.80 and 413,407.20

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Solution

The fourth proportional to 553,812.60, 830,062.80 and 413,407.20 is: 619,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,812.60 : 830,062.80 = 413,407.20 : x
  2. Step 2: Convert to fraction form
    553,812.60/830,062.80 = 413,407.20/x
  3. Step 3: Cross multiply
    553,812.60x = 830,062.80 × 413,407.20
  4. Step 4: Simplify right side
    553,812.60x = 343,153,937,972.16
  5. Step 5: Solve for x
    x = 343,153,937,972.16/553,812.60
  6. Step 6: Final answer
    x = 619,621.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.