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Finding the Fourth Proportional to 314,510.40, 470,657.52 and 257,667.84

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Solution

The fourth proportional to 314,510.40, 470,657.52 and 257,667.84 is: 385,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,510.40 : 470,657.52 = 257,667.84 : x
  2. Step 2: Convert to fraction form
    314,510.40/470,657.52 = 257,667.84/x
  3. Step 3: Cross multiply
    314,510.40x = 470,657.52 × 257,667.84
  4. Step 4: Simplify right side
    314,510.40x = 121,273,306,558.16
  5. Step 5: Solve for x
    x = 121,273,306,558.16/314,510.40
  6. Step 6: Final answer
    x = 385,593.95

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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.