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Finding the Fourth Proportional to 478,306.90, 660,038.59 and 297,014.93

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Solution

The fourth proportional to 478,306.90, 660,038.59 and 297,014.93 is: 409,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,306.90 : 660,038.59 = 297,014.93 : x
  2. Step 2: Convert to fraction form
    478,306.90/660,038.59 = 297,014.93/x
  3. Step 3: Cross multiply
    478,306.90x = 660,038.59 × 297,014.93
  4. Step 4: Simplify right side
    478,306.90x = 196,041,315,152.37
  5. Step 5: Solve for x
    x = 196,041,315,152.37/478,306.90
  6. Step 6: Final answer
    x = 409,865.12

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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.