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Finding the Fourth Proportional to 428,074.68, 590,747.40 and 258,276

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Solution

The fourth proportional to 428,074.68, 590,747.40 and 258,276 is: 356,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,074.68 : 590,747.40 = 258,276 : x
  2. Step 2: Convert to fraction form
    428,074.68/590,747.40 = 258,276/x
  3. Step 3: Cross multiply
    428,074.68x = 590,747.40 × 258,276
  4. Step 4: Simplify right side
    428,074.68x = 152,575,875,482.40
  5. Step 5: Solve for x
    x = 152,575,875,482.40/428,074.68
  6. Step 6: Final answer
    x = 356,423.50

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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.