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Finding the Fourth Proportional to 289,381.71, 399,349.53 and 160,322.93

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Solution

The fourth proportional to 289,381.71, 399,349.53 and 160,322.93 is: 221,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,381.71 : 399,349.53 = 160,322.93 : x
  2. Step 2: Convert to fraction form
    289,381.71/399,349.53 = 160,322.93/x
  3. Step 3: Cross multiply
    289,381.71x = 399,349.53 × 160,322.93
  4. Step 4: Simplify right side
    289,381.71x = 64,024,884,746.98
  5. Step 5: Solve for x
    x = 64,024,884,746.98/289,381.71
  6. Step 6: Final answer
    x = 221,247.17

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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.