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Finding the Fourth Proportional to 498,636,006.40, 747,954,009.60 and 135,130,362.40

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Solution

The fourth proportional to 498,636,006.40, 747,954,009.60 and 135,130,362.40 is: 202,695,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,006.40 : 747,954,009.60 = 135,130,362.40 : x
  2. Step 2: Convert to fraction form
    498,636,006.40/747,954,009.60 = 135,130,362.40/x
  3. Step 3: Cross multiply
    498,636,006.40x = 747,954,009.60 × 135,130,362.40
  4. Step 4: Simplify right side
    498,636,006.40x = 101,071,296,375,781,088
  5. Step 5: Solve for x
    x = 101,071,296,375,781,088/498,636,006.40
  6. Step 6: Final answer
    x = 202,695,543.60

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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.