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Finding the Fourth Proportional to 689,192.40, 950,946 and 402,657.14

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Solution

The fourth proportional to 689,192.40, 950,946 and 402,657.14 is: 555,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,192.40 : 950,946 = 402,657.14 : x
  2. Step 2: Convert to fraction form
    689,192.40/950,946 = 402,657.14/x
  3. Step 3: Cross multiply
    689,192.40x = 950,946 × 402,657.14
  4. Step 4: Simplify right side
    689,192.40x = 382,905,196,654.44
  5. Step 5: Solve for x
    x = 382,905,196,654.44/689,192.40
  6. Step 6: Final answer
    x = 555,585.34

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1.5x scale

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.