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Finding the Fourth Proportional to 564,008.16, 778,831.71 and 383,392.04

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Solution

The fourth proportional to 564,008.16, 778,831.71 and 383,392.04 is: 529,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,008.16 : 778,831.71 = 383,392.04 : x
  2. Step 2: Convert to fraction form
    564,008.16/778,831.71 = 383,392.04/x
  3. Step 3: Cross multiply
    564,008.16x = 778,831.71 × 383,392.04
  4. Step 4: Simplify right side
    564,008.16x = 298,597,872,781.71
  5. Step 5: Solve for x
    x = 298,597,872,781.71/564,008.16
  6. Step 6: Final answer
    x = 529,421.19

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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.