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Finding the Fourth Proportional to 423,547.48, 584,415.30 and 287,689.96

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Solution

The fourth proportional to 423,547.48, 584,415.30 and 287,689.96 is: 396,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,547.48 : 584,415.30 = 287,689.96 : x
  2. Step 2: Convert to fraction form
    423,547.48/584,415.30 = 287,689.96/x
  3. Step 3: Cross multiply
    423,547.48x = 584,415.30 × 287,689.96
  4. Step 4: Simplify right side
    423,547.48x = 168,130,414,280.39
  5. Step 5: Solve for x
    x = 168,130,414,280.39/423,547.48
  6. Step 6: Final answer
    x = 396,957.65

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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.