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Finding the Fourth Proportional to 287,089, 430,354.08 and 137,290.42

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Solution

The fourth proportional to 287,089, 430,354.08 and 137,290.42 is: 205,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,089 : 430,354.08 = 137,290.42 : x
  2. Step 2: Convert to fraction form
    287,089/430,354.08 = 137,290.42/x
  3. Step 3: Cross multiply
    287,089x = 430,354.08 × 137,290.42
  4. Step 4: Simplify right side
    287,089x = 59,083,492,391.91
  5. Step 5: Solve for x
    x = 59,083,492,391.91/287,089
  6. Step 6: Final answer
    x = 205,802.01

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1.5x scale

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.