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Finding the Fourth Proportional to 405,440.78, 608,464.10 and 152,970.26

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Solution

The fourth proportional to 405,440.78, 608,464.10 and 152,970.26 is: 229,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,440.78 : 608,464.10 = 152,970.26 : x
  2. Step 2: Convert to fraction form
    405,440.78/608,464.10 = 152,970.26/x
  3. Step 3: Cross multiply
    405,440.78x = 608,464.10 × 152,970.26
  4. Step 4: Simplify right side
    405,440.78x = 93,076,908,917.77
  5. Step 5: Solve for x
    x = 93,076,908,917.77/405,440.78
  6. Step 6: Final answer
    x = 229,569.68

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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.