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Finding the Fourth Proportional to 497,688.32, 686,809.86 and 282,828.80

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Solution

The fourth proportional to 497,688.32, 686,809.86 and 282,828.80 is: 390,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,688.32 : 686,809.86 = 282,828.80 : x
  2. Step 2: Convert to fraction form
    497,688.32/686,809.86 = 282,828.80/x
  3. Step 3: Cross multiply
    497,688.32x = 686,809.86 × 282,828.80
  4. Step 4: Simplify right side
    497,688.32x = 194,249,608,531.97
  5. Step 5: Solve for x
    x = 194,249,608,531.97/497,688.32
  6. Step 6: Final answer
    x = 390,303.73

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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.