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Finding the Fourth Proportional to 652,290.30, 978,435.45 and 315,492.30

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Solution

The fourth proportional to 652,290.30, 978,435.45 and 315,492.30 is: 473,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,290.30 : 978,435.45 = 315,492.30 : x
  2. Step 2: Convert to fraction form
    652,290.30/978,435.45 = 315,492.30/x
  3. Step 3: Cross multiply
    652,290.30x = 978,435.45 × 315,492.30
  4. Step 4: Simplify right side
    652,290.30x = 308,688,850,522.04
  5. Step 5: Solve for x
    x = 308,688,850,522.04/652,290.30
  6. Step 6: Final answer
    x = 473,238.45

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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.