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Finding the Fourth Proportional to 459,870.30, 634,641.75 and 258,666.30

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Solution

The fourth proportional to 459,870.30, 634,641.75 and 258,666.30 is: 356,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,870.30 : 634,641.75 = 258,666.30 : x
  2. Step 2: Convert to fraction form
    459,870.30/634,641.75 = 258,666.30/x
  3. Step 3: Cross multiply
    459,870.30x = 634,641.75 × 258,666.30
  4. Step 4: Simplify right side
    459,870.30x = 164,160,433,298.03
  5. Step 5: Solve for x
    x = 164,160,433,298.03/459,870.30
  6. Step 6: Final answer
    x = 356,971.16

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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.