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Finding the Fourth Proportional to 647,543.60, 971,315.40 and 542,567.60

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Solution

The fourth proportional to 647,543.60, 971,315.40 and 542,567.60 is: 813,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,543.60 : 971,315.40 = 542,567.60 : x
  2. Step 2: Convert to fraction form
    647,543.60/971,315.40 = 542,567.60/x
  3. Step 3: Cross multiply
    647,543.60x = 971,315.40 × 542,567.60
  4. Step 4: Simplify right side
    647,543.60x = 527,004,265,421.04
  5. Step 5: Solve for x
    x = 527,004,265,421.04/647,543.60
  6. Step 6: Final answer
    x = 813,851.40

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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.