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Finding the Fourth Proportional to 459,005.82, 688,605.93 and 143,486.52

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Solution

The fourth proportional to 459,005.82, 688,605.93 and 143,486.52 is: 215,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,005.82 : 688,605.93 = 143,486.52 : x
  2. Step 2: Convert to fraction form
    459,005.82/688,605.93 = 143,486.52/x
  3. Step 3: Cross multiply
    459,005.82x = 688,605.93 × 143,486.52
  4. Step 4: Simplify right side
    459,005.82x = 98,805,668,547.06
  5. Step 5: Solve for x
    x = 98,805,668,547.06/459,005.82
  6. Step 6: Final answer
    x = 215,260.16

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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.