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Finding the Fourth Proportional to 459,463.74, 689,104.77 and 436,678.54

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Solution

The fourth proportional to 459,463.74, 689,104.77 and 436,678.54 is: 654,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,463.74 : 689,104.77 = 436,678.54 : x
  2. Step 2: Convert to fraction form
    459,463.74/689,104.77 = 436,678.54/x
  3. Step 3: Cross multiply
    459,463.74x = 689,104.77 × 436,678.54
  4. Step 4: Simplify right side
    459,463.74x = 300,917,265,386.54
  5. Step 5: Solve for x
    x = 300,917,265,386.54/459,463.74
  6. Step 6: Final answer
    x = 654,931.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.