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Finding the Fourth Proportional to 601,605, 830,215.08 and 359,897.76

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Solution

The fourth proportional to 601,605, 830,215.08 and 359,897.76 is: 496,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,605 : 830,215.08 = 359,897.76 : x
  2. Step 2: Convert to fraction form
    601,605/830,215.08 = 359,897.76/x
  3. Step 3: Cross multiply
    601,605x = 830,215.08 × 359,897.76
  4. Step 4: Simplify right side
    601,605x = 298,792,547,610.22
  5. Step 5: Solve for x
    x = 298,792,547,610.22/601,605
  6. Step 6: Final answer
    x = 496,659.02

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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.