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Finding the Fourth Proportional to 478,271.19, 660,031.17 and 297,082.35

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Solution

The fourth proportional to 478,271.19, 660,031.17 and 297,082.35 is: 409,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,271.19 : 660,031.17 = 297,082.35 : x
  2. Step 2: Convert to fraction form
    478,271.19/660,031.17 = 297,082.35/x
  3. Step 3: Cross multiply
    478,271.19x = 660,031.17 × 297,082.35
  4. Step 4: Simplify right side
    478,271.19x = 196,083,611,056.85
  5. Step 5: Solve for x
    x = 196,083,611,056.85/478,271.19
  6. Step 6: Final answer
    x = 409,984.16

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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.