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Finding the Fourth Proportional to 647,816.60, 971,724.90 and 561,211.40

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Solution

The fourth proportional to 647,816.60, 971,724.90 and 561,211.40 is: 841,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,816.60 : 971,724.90 = 561,211.40 : x
  2. Step 2: Convert to fraction form
    647,816.60/971,724.90 = 561,211.40/x
  3. Step 3: Cross multiply
    647,816.60x = 971,724.90 × 561,211.40
  4. Step 4: Simplify right side
    647,816.60x = 545,343,091,543.86
  5. Step 5: Solve for x
    x = 545,343,091,543.86/647,816.60
  6. Step 6: Final answer
    x = 841,817.10

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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.