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Finding the Fourth Proportional to 601,894.08, 830,878.40 and 421,315.20

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Solution

The fourth proportional to 601,894.08, 830,878.40 and 421,315.20 is: 581,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,894.08 : 830,878.40 = 421,315.20 : x
  2. Step 2: Convert to fraction form
    601,894.08/830,878.40 = 421,315.20/x
  3. Step 3: Cross multiply
    601,894.08x = 830,878.40 × 421,315.20
  4. Step 4: Simplify right side
    601,894.08x = 350,061,699,271.68
  5. Step 5: Solve for x
    x = 350,061,699,271.68/601,894.08
  6. Step 6: Final answer
    x = 581,600.17

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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.