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Finding the Fourth Proportional to 209,952,259.30, 314,928,388.95 and 144,478,728.10

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Solution

The fourth proportional to 209,952,259.30, 314,928,388.95 and 144,478,728.10 is: 216,718,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,259.30 : 314,928,388.95 = 144,478,728.10 : x
  2. Step 2: Convert to fraction form
    209,952,259.30/314,928,388.95 = 144,478,728.10/x
  3. Step 3: Cross multiply
    209,952,259.30x = 314,928,388.95 × 144,478,728.10
  4. Step 4: Simplify right side
    209,952,259.30x = 45,500,453,078,078,088
  5. Step 5: Solve for x
    x = 45,500,453,078,078,088/209,952,259.30
  6. Step 6: Final answer
    x = 216,718,092.15

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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.