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Finding the Fourth Proportional to 459,956.70, 634,739.28 and 258,752.70

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Solution

The fourth proportional to 459,956.70, 634,739.28 and 258,752.70 is: 357,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,956.70 : 634,739.28 = 258,752.70 : x
  2. Step 2: Convert to fraction form
    459,956.70/634,739.28 = 258,752.70/x
  3. Step 3: Cross multiply
    459,956.70x = 634,739.28 × 258,752.70
  4. Step 4: Simplify right side
    459,956.70x = 164,240,502,496.06
  5. Step 5: Solve for x
    x = 164,240,502,496.06/459,956.70
  6. Step 6: Final answer
    x = 357,078.18

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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.