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Finding the Fourth Proportional to 316,478.51, 474,389.71 and 197,877.50

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Solution

The fourth proportional to 316,478.51, 474,389.71 and 197,877.50 is: 296,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,478.51 : 474,389.71 = 197,877.50 : x
  2. Step 2: Convert to fraction form
    316,478.51/474,389.71 = 197,877.50/x
  3. Step 3: Cross multiply
    316,478.51x = 474,389.71 × 197,877.50
  4. Step 4: Simplify right side
    316,478.51x = 93,871,048,851.14
  5. Step 5: Solve for x
    x = 93,871,048,851.14/316,478.51
  6. Step 6: Final answer
    x = 296,611.13

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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.