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Finding the Fourth Proportional to 724,259, 999,477.42 and 406,307

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Solution

The fourth proportional to 724,259, 999,477.42 and 406,307 is: 560,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,259 : 999,477.42 = 406,307 : x
  2. Step 2: Convert to fraction form
    724,259/999,477.42 = 406,307/x
  3. Step 3: Cross multiply
    724,259x = 999,477.42 × 406,307
  4. Step 4: Simplify right side
    724,259x = 406,094,672,087.94
  5. Step 5: Solve for x
    x = 406,094,672,087.94/724,259
  6. Step 6: Final answer
    x = 560,703.66

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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.