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Finding the Fourth Proportional to 497,565, 686,639.88 and 282,705.30

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Solution

The fourth proportional to 497,565, 686,639.88 and 282,705.30 is: 390,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,565 : 686,639.88 = 282,705.30 : x
  2. Step 2: Convert to fraction form
    497,565/686,639.88 = 282,705.30/x
  3. Step 3: Cross multiply
    497,565x = 686,639.88 × 282,705.30
  4. Step 4: Simplify right side
    497,565x = 194,116,733,267.36
  5. Step 5: Solve for x
    x = 194,116,733,267.36/497,565
  6. Step 6: Final answer
    x = 390,133.42

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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.