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Finding the Fourth Proportional to 506,953, 699,595.77 and 315,966.25

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Solution

The fourth proportional to 506,953, 699,595.77 and 315,966.25 is: 436,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,953 : 699,595.77 = 315,966.25 : x
  2. Step 2: Convert to fraction form
    506,953/699,595.77 = 315,966.25/x
  3. Step 3: Cross multiply
    506,953x = 699,595.77 × 315,966.25
  4. Step 4: Simplify right side
    506,953x = 221,048,651,962.76
  5. Step 5: Solve for x
    x = 221,048,651,962.76/506,953
  6. Step 6: Final answer
    x = 436,033.82

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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.