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Finding the Fourth Proportional to 411,872,875.20, 617,799,866.40 and 207,346,027.20

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Solution

The fourth proportional to 411,872,875.20, 617,799,866.40 and 207,346,027.20 is: 311,014,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,872,875.20 : 617,799,866.40 = 207,346,027.20 : x
  2. Step 2: Convert to fraction form
    411,872,875.20/617,799,866.40 = 207,346,027.20/x
  3. Step 3: Cross multiply
    411,872,875.20x = 617,799,866.40 × 207,346,027.20
  4. Step 4: Simplify right side
    411,872,875.20x = 128,098,347,902,730,752
  5. Step 5: Solve for x
    x = 128,098,347,902,730,752/411,872,875.20
  6. Step 6: Final answer
    x = 311,014,285.27

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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.