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Finding the Fourth Proportional to 209,509.58, 289,461.48 and 146,130.32

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Solution

The fourth proportional to 209,509.58, 289,461.48 and 146,130.32 is: 201,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,509.58 : 289,461.48 = 146,130.32 : x
  2. Step 2: Convert to fraction form
    209,509.58/289,461.48 = 146,130.32/x
  3. Step 3: Cross multiply
    209,509.58x = 289,461.48 × 146,130.32
  4. Step 4: Simplify right side
    209,509.58x = 42,299,098,700.07
  5. Step 5: Solve for x
    x = 42,299,098,700.07/209,509.58
  6. Step 6: Final answer
    x = 201,895.77

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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.