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Finding the Fourth Proportional to 564,639.30, 847,615.05 and 340,253.10

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Solution

The fourth proportional to 564,639.30, 847,615.05 and 340,253.10 is: 510,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,639.30 : 847,615.05 = 340,253.10 : x
  2. Step 2: Convert to fraction form
    564,639.30/847,615.05 = 340,253.10/x
  3. Step 3: Cross multiply
    564,639.30x = 847,615.05 × 340,253.10
  4. Step 4: Simplify right side
    564,639.30x = 288,403,648,369.16
  5. Step 5: Solve for x
    x = 288,403,648,369.16/564,639.30
  6. Step 6: Final answer
    x = 510,775.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.