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Finding the Fourth Proportional to 749,358, 1,034,114.85 and 409,827.06

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Solution

The fourth proportional to 749,358, 1,034,114.85 and 409,827.06 is: 565,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,358 : 1,034,114.85 = 409,827.06 : x
  2. Step 2: Convert to fraction form
    749,358/1,034,114.85 = 409,827.06/x
  3. Step 3: Cross multiply
    749,358x = 1,034,114.85 × 409,827.06
  4. Step 4: Simplify right side
    749,358x = 423,808,248,677.84
  5. Step 5: Solve for x
    x = 423,808,248,677.84/749,358
  6. Step 6: Final answer
    x = 565,561.79

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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.