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Finding the Fourth Proportional to 217,788.84, 300,649.68 and 145,312.20

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Solution

The fourth proportional to 217,788.84, 300,649.68 and 145,312.20 is: 200,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,788.84 : 300,649.68 = 145,312.20 : x
  2. Step 2: Convert to fraction form
    217,788.84/300,649.68 = 145,312.20/x
  3. Step 3: Cross multiply
    217,788.84x = 300,649.68 × 145,312.20
  4. Step 4: Simplify right side
    217,788.84x = 43,688,066,430.10
  5. Step 5: Solve for x
    x = 43,688,066,430.10/217,788.84
  6. Step 6: Final answer
    x = 200,598.28

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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.