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Finding the Fourth Proportional to 610,718.12, 843,227.78 and 407,248.75

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Solution

The fourth proportional to 610,718.12, 843,227.78 and 407,248.75 is: 562,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,718.12 : 843,227.78 = 407,248.75 : x
  2. Step 2: Convert to fraction form
    610,718.12/843,227.78 = 407,248.75/x
  3. Step 3: Cross multiply
    610,718.12x = 843,227.78 × 407,248.75
  4. Step 4: Simplify right side
    610,718.12x = 343,403,459,370.28
  5. Step 5: Solve for x
    x = 343,403,459,370.28/610,718.12
  6. Step 6: Final answer
    x = 562,294.53

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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.