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Finding the Fourth Proportional to 652,088.30, 978,424.05 and 314,998.70

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Solution

The fourth proportional to 652,088.30, 978,424.05 and 314,998.70 is: 472,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,088.30 : 978,424.05 = 314,998.70 : x
  2. Step 2: Convert to fraction form
    652,088.30/978,424.05 = 314,998.70/x
  3. Step 3: Cross multiply
    652,088.30x = 978,424.05 × 314,998.70
  4. Step 4: Simplify right side
    652,088.30x = 308,202,303,798.74
  5. Step 5: Solve for x
    x = 308,202,303,798.74/652,088.30
  6. Step 6: Final answer
    x = 472,638.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.