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Finding the Fourth Proportional to 287,000.40, 430,306.20 and 146,643.60

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Solution

The fourth proportional to 287,000.40, 430,306.20 and 146,643.60 is: 219,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,000.40 : 430,306.20 = 146,643.60 : x
  2. Step 2: Convert to fraction form
    287,000.40/430,306.20 = 146,643.60/x
  3. Step 3: Cross multiply
    287,000.40x = 430,306.20 × 146,643.60
  4. Step 4: Simplify right side
    287,000.40x = 63,101,650,270.32
  5. Step 5: Solve for x
    x = 63,101,650,270.32/287,000.40
  6. Step 6: Final answer
    x = 219,866.07

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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.