Home / 470,016,003.60-705,024,005.40-417,611,984.40

Finding the Fourth Proportional to 470,016,003.60, 705,024,005.40 and 417,611,984.40

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Solution

The fourth proportional to 470,016,003.60, 705,024,005.40 and 417,611,984.40 is: 626,417,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,016,003.60 : 705,024,005.40 = 417,611,984.40 : x
  2. Step 2: Convert to fraction form
    470,016,003.60/705,024,005.40 = 417,611,984.40/x
  3. Step 3: Cross multiply
    470,016,003.60x = 705,024,005.40 × 417,611,984.40
  4. Step 4: Simplify right side
    470,016,003.60x = 294,426,473,944,730,304
  5. Step 5: Solve for x
    x = 294,426,473,944,730,304/470,016,003.60
  6. Step 6: Final answer
    x = 626,417,976.60

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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.