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Finding the Fourth Proportional to 408,726,803.73, 564,780,802.65 and 291,047,831.11

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Solution

The fourth proportional to 408,726,803.73, 564,780,802.65 and 291,047,831.11 is: 402,171,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,726,803.73 : 564,780,802.65 = 291,047,831.11 : x
  2. Step 2: Convert to fraction form
    408,726,803.73/564,780,802.65 = 291,047,831.11/x
  3. Step 3: Cross multiply
    408,726,803.73x = 564,780,802.65 × 291,047,831.11
  4. Step 4: Simplify right side
    408,726,803.73x = 164,378,227,663,847,456
  5. Step 5: Solve for x
    x = 164,378,227,663,847,456/408,726,803.73
  6. Step 6: Final answer
    x = 402,171,392.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.