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Finding the Fourth Proportional to 553,335.40, 830,003.10 and 507,845.80

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Solution

The fourth proportional to 553,335.40, 830,003.10 and 507,845.80 is: 761,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,335.40 : 830,003.10 = 507,845.80 : x
  2. Step 2: Convert to fraction form
    553,335.40/830,003.10 = 507,845.80/x
  3. Step 3: Cross multiply
    553,335.40x = 830,003.10 × 507,845.80
  4. Step 4: Simplify right side
    553,335.40x = 421,513,588,321.98
  5. Step 5: Solve for x
    x = 421,513,588,321.98/553,335.40
  6. Step 6: Final answer
    x = 761,768.70

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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.