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Finding the Fourth Proportional to 516,701.04, 713,068.56 and 290,346

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Solution

The fourth proportional to 516,701.04, 713,068.56 and 290,346 is: 400,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,701.04 : 713,068.56 = 290,346 : x
  2. Step 2: Convert to fraction form
    516,701.04/713,068.56 = 290,346/x
  3. Step 3: Cross multiply
    516,701.04x = 713,068.56 × 290,346
  4. Step 4: Simplify right side
    516,701.04x = 207,036,604,121.76
  5. Step 5: Solve for x
    x = 207,036,604,121.76/516,701.04
  6. Step 6: Final answer
    x = 400,689.35

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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.