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Finding the Fourth Proportional to 389,280.98, 537,208.54 and 210,432.98

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Solution

The fourth proportional to 389,280.98, 537,208.54 and 210,432.98 is: 290,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,280.98 : 537,208.54 = 210,432.98 : x
  2. Step 2: Convert to fraction form
    389,280.98/537,208.54 = 210,432.98/x
  3. Step 3: Cross multiply
    389,280.98x = 537,208.54 × 210,432.98
  4. Step 4: Simplify right side
    389,280.98x = 113,046,393,953.65
  5. Step 5: Solve for x
    x = 113,046,393,953.65/389,280.98
  6. Step 6: Final answer
    x = 290,397.94

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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.