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Finding the Fourth Proportional to 616,810.80, 926,771.40 and 392,278.80

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Solution

The fourth proportional to 616,810.80, 926,771.40 and 392,278.80 is: 589,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,810.80 : 926,771.40 = 392,278.80 : x
  2. Step 2: Convert to fraction form
    616,810.80/926,771.40 = 392,278.80/x
  3. Step 3: Cross multiply
    616,810.80x = 926,771.40 × 392,278.80
  4. Step 4: Simplify right side
    616,810.80x = 363,552,772,666.32
  5. Step 5: Solve for x
    x = 363,552,772,666.32/616,810.80
  6. Step 6: Final answer
    x = 589,407.27

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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.