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Finding the Fourth Proportional to 287,125.94, 430,728.30 and 97,535.40

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Solution

The fourth proportional to 287,125.94, 430,728.30 and 97,535.40 is: 146,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,125.94 : 430,728.30 = 97,535.40 : x
  2. Step 2: Convert to fraction form
    287,125.94/430,728.30 = 97,535.40/x
  3. Step 3: Cross multiply
    287,125.94x = 430,728.30 × 97,535.40
  4. Step 4: Simplify right side
    287,125.94x = 42,011,257,031.82
  5. Step 5: Solve for x
    x = 42,011,257,031.82/287,125.94
  6. Step 6: Final answer
    x = 146,316.48

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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.