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Finding the Fourth Proportional to 570,822, 787,734.36 and 316,189.62

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Solution

The fourth proportional to 570,822, 787,734.36 and 316,189.62 is: 436,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,822 : 787,734.36 = 316,189.62 : x
  2. Step 2: Convert to fraction form
    570,822/787,734.36 = 316,189.62/x
  3. Step 3: Cross multiply
    570,822x = 787,734.36 × 316,189.62
  4. Step 4: Simplify right side
    570,822x = 249,073,427,949.34
  5. Step 5: Solve for x
    x = 249,073,427,949.34/570,822
  6. Step 6: Final answer
    x = 436,341.68

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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.