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Finding the Fourth Proportional to 405,031.98, 607,602.64 and 148,830.38

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Solution

The fourth proportional to 405,031.98, 607,602.64 and 148,830.38 is: 223,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,031.98 : 607,602.64 = 148,830.38 : x
  2. Step 2: Convert to fraction form
    405,031.98/607,602.64 = 148,830.38/x
  3. Step 3: Cross multiply
    405,031.98x = 607,602.64 × 148,830.38
  4. Step 4: Simplify right side
    405,031.98x = 90,429,731,800.20
  5. Step 5: Solve for x
    x = 90,429,731,800.20/405,031.98
  6. Step 6: Final answer
    x = 223,265.66

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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.