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Finding the Fourth Proportional to 298,973.40, 448,460.10 and 141,509.40

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Solution

The fourth proportional to 298,973.40, 448,460.10 and 141,509.40 is: 212,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973.40 : 448,460.10 = 141,509.40 : x
  2. Step 2: Convert to fraction form
    298,973.40/448,460.10 = 141,509.40/x
  3. Step 3: Cross multiply
    298,973.40x = 448,460.10 × 141,509.40
  4. Step 4: Simplify right side
    298,973.40x = 63,461,319,674.94
  5. Step 5: Solve for x
    x = 63,461,319,674.94/298,973.40
  6. Step 6: Final answer
    x = 212,264.10

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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.