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Finding the Fourth Proportional to 570,411.47, 787,168.05 and 312,305.15

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Solution

The fourth proportional to 570,411.47, 787,168.05 and 312,305.15 is: 430,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,411.47 : 787,168.05 = 312,305.15 : x
  2. Step 2: Convert to fraction form
    570,411.47/787,168.05 = 312,305.15/x
  3. Step 3: Cross multiply
    570,411.47x = 787,168.05 × 312,305.15
  4. Step 4: Simplify right side
    570,411.47x = 245,836,631,994.62
  5. Step 5: Solve for x
    x = 245,836,631,994.62/570,411.47
  6. Step 6: Final answer
    x = 430,981.23

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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.