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Finding the Fourth Proportional to 409,068,391.65, 613,688,764.31 and 132,698,026.16

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Solution

The fourth proportional to 409,068,391.65, 613,688,764.31 and 132,698,026.16 is: 199,074,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,068,391.65 : 613,688,764.31 = 132,698,026.16 : x
  2. Step 2: Convert to fraction form
    409,068,391.65/613,688,764.31 = 132,698,026.16/x
  3. Step 3: Cross multiply
    409,068,391.65x = 613,688,764.31 × 132,698,026.16
  4. Step 4: Simplify right side
    409,068,391.65x = 81,435,287,700,506,448
  5. Step 5: Solve for x
    x = 81,435,287,700,506,448/409,068,391.65
  6. Step 6: Final answer
    x = 199,074,994.21

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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.