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Finding the Fourth Proportional to 542,292.84, 812,900.88 and 257,482.80

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Solution

The fourth proportional to 542,292.84, 812,900.88 and 257,482.80 is: 385,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,292.84 : 812,900.88 = 257,482.80 : x
  2. Step 2: Convert to fraction form
    542,292.84/812,900.88 = 257,482.80/x
  3. Step 3: Cross multiply
    542,292.84x = 812,900.88 × 257,482.80
  4. Step 4: Simplify right side
    542,292.84x = 209,307,994,704.86
  5. Step 5: Solve for x
    x = 209,307,994,704.86/542,292.84
  6. Step 6: Final answer
    x = 385,968.58

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1.5x scale

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.