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Finding the Fourth Proportional to 459,934.68, 634,709.70 and 258,730.68

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Solution

The fourth proportional to 459,934.68, 634,709.70 and 258,730.68 is: 357,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,934.68 : 634,709.70 = 258,730.68 : x
  2. Step 2: Convert to fraction form
    459,934.68/634,709.70 = 258,730.68/x
  3. Step 3: Cross multiply
    459,934.68x = 634,709.70 × 258,730.68
  4. Step 4: Simplify right side
    459,934.68x = 164,218,872,283.60
  5. Step 5: Solve for x
    x = 164,218,872,283.60/459,934.68
  6. Step 6: Final answer
    x = 357,048.25

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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.