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Finding the Fourth Proportional to 658,547.40, 988,281.90 and 284,838.60

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Solution

The fourth proportional to 658,547.40, 988,281.90 and 284,838.60 is: 427,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,547.40 : 988,281.90 = 284,838.60 : x
  2. Step 2: Convert to fraction form
    658,547.40/988,281.90 = 284,838.60/x
  3. Step 3: Cross multiply
    658,547.40x = 988,281.90 × 284,838.60
  4. Step 4: Simplify right side
    658,547.40x = 281,500,832,801.34
  5. Step 5: Solve for x
    x = 281,500,832,801.34/658,547.40
  6. Step 6: Final answer
    x = 427,457.21

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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.