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Finding the Fourth Proportional to 570,297.12, 787,000.50 and 315,642.84

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Solution

The fourth proportional to 570,297.12, 787,000.50 and 315,642.84 is: 435,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,297.12 : 787,000.50 = 315,642.84 : x
  2. Step 2: Convert to fraction form
    570,297.12/787,000.50 = 315,642.84/x
  3. Step 3: Cross multiply
    570,297.12x = 787,000.50 × 315,642.84
  4. Step 4: Simplify right side
    570,297.12x = 248,411,072,901.42
  5. Step 5: Solve for x
    x = 248,411,072,901.42/570,297.12
  6. Step 6: Final answer
    x = 435,581.85

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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.