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Finding the Fourth Proportional to 459,865.48, 634,607.86 and 258,661

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Solution

The fourth proportional to 459,865.48, 634,607.86 and 258,661 is: 356,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,865.48 : 634,607.86 = 258,661 : x
  2. Step 2: Convert to fraction form
    459,865.48/634,607.86 = 258,661/x
  3. Step 3: Cross multiply
    459,865.48x = 634,607.86 × 258,661
  4. Step 4: Simplify right side
    459,865.48x = 164,148,303,675.46
  5. Step 5: Solve for x
    x = 164,148,303,675.46/459,865.48
  6. Step 6: Final answer
    x = 356,948.52

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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.